Search a number
-
+
5265952884 = 223516732441
BaseRepresentation
bin1001110011110000…
…00001000001110100
3111120222211010100000
410321320001001310
541241040443014
62230311351300
7244331601213
oct47170010164
914528733300
105265952884
112262547385
12102b682530
1365bc9856a
1437d53107a
1520c48c509
hex139e01074

5265952884 has 72 divisors (see below), whose sum is σ = 13887252288. Its totient is φ = 1744752960.

The previous prime is 5265952883. The next prime is 5265952931. The reversal of 5265952884 is 4882595625.

5265952884 is a `hidden beast` number, since 5 + 26 + 595 + 28 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5265952884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5265952883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146104 + ... + 178544.

It is an arithmetic number, because the mean of its divisors is an integer number (192878504).

Almost surely, 25265952884 is an apocalyptic number.

5265952884 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5265952884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943626144).

5265952884 is an abundant number, since it is smaller than the sum of its proper divisors (8621299404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5265952884 is a wasteful number, since it uses less digits than its factorization.

5265952884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32627 (or 32613 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 5265952884 is about 72566.8855884004. The cubic root of 5265952884 is about 1739.7719439514.

The spelling of 5265952884 in words is "five billion, two hundred sixty-five million, nine hundred fifty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 243 324 334 486 501 668 972 1002 1503 2004 3006 4509 6012 9018 13527 18036 27054 32441 40581 54108 64882 81162 97323 129764 162324 194646 291969 389292 583938 875907 1167876 1751814 2627721 3503628 5255442 5417647 7883163 10510884 10835294 15766326 16252941 21670588 31532652 32505882 48758823 65011764 97517646 146276469 195035292 292552938 438829407 585105876 877658814 1316488221 1755317628 2632976442 5265952884